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Finding the Fourth Proportional to 50,531.42, 69,738.28 and 37,762.42

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Solution

The fourth proportional to 50,531.42, 69,738.28 and 37,762.42 is: 52,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.42 : 69,738.28 = 37,762.42 : x
  2. Step 2: Convert to fraction form
    50,531.42/69,738.28 = 37,762.42/x
  3. Step 3: Cross multiply
    50,531.42x = 69,738.28 × 37,762.42
  4. Step 4: Simplify right side
    50,531.42x = 2,633,486,219.44
  5. Step 5: Solve for x
    x = 2,633,486,219.44/50,531.42
  6. Step 6: Final answer
    x = 52,115.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.